Monte Carlo simulation of the classical two-dimensional one-component plasma

Abstract

We have used Monte Carlo simulation, lattice dynamics in the harmonic approximation, and solution of the hypernetted-chain equation to study the classical two-dimensional one-component plasma. We find a fluid phase for $\ensuremath{\Gamma}=\frac{{e}^{2}{(\ensuremath{\pi}n)}^{\frac{1}{2}}}{{k}_{B}T}<~125\ifmmode\pm\else\textpm\fi{}15$ and a solid phase for higher $\ensuremath{\Gamma}$. The solid phase shows directional long-range order. In the solid phase positional long-range order is lost as the thermodynamic limit is approached. We also present the results of calculations of the thermodynamic functions and one- and two-particle correlation functions.